Geometric measure theory and the calculus of variations / [electronic resource]
William K. Allard, Frederick J. Almgren, Jr., editors.
- Providence, R.I. : American Mathematical Society, c1986.
- 1 online resource (xiv, 464 p. : ill.)
- Proceedings of symposia in pure mathematics, v. 44 0082-0717 (print); 2324-707X (online); .
"Proceedings of the Summer Institute on Geometric Measure Theory and the Calculus of Variations, held at Humboldt State University, Arcata, California, July 16-August 3, 1984"--T.p. verso.
Includes bibliographies.
An integrality theorem and a regularity theorem for surfaces whose first variation with respect to a parametric elliptic integrand is controlled / Deformations and multiple-valued functions / Local estimates for minimal submanifolds in dimensions greater than two / Second variation estimates for minimal orbits / Index theory for operator ranges and geometric measure theory / MACSYMA and minimal surfaces / Sur les cha�ines maximalement complexes de bord donn�e / Index and total curvature of complete minimal surfaces / The structure of stable minimal hypersurfaces near a singularity / Some regularity results in plasticity / Tangential regularity near the $\mathcal ^1$-boundary / Solving Plateau's problem for hypersurfaces without the compactness theorem for integral currents / Complex analytic geometry and measure theory / Mean curvature contraction of convex hypersurfaces / $C^$ multiple function regularity and tangent cone behaviour for varifolds with second fundamental form in $L^p$ / Pointwise pinched manifolds are space forms / The multiplicity of generic projections of $n$-dimensional surfaces in $\mathbf ^$ $(n+k\leq 4)$ / Deformation of Riemannian metrics and manifolds with bounded curvature ratios / A regularity condition at the boundary for weak solutions of some nonlinear elliptic systems / Solutions to the Navier-Stokes inequality with singularities on a Cantor set / Asymptotic behaviour of minimal submanifolds and harmonic maps / Complete catalog of minimizing embedded crystalline cones / Liouville theorems for stable harmonic maps into either strongly unstable, or $\delta $-pinched, manifolds / A regularity theorem for minimizing hypersurfaces modulo $p$ / Regularity of quasiminima and obstacle problems / William K. Allard -- F. Almgren -- Michael T. Anderson -- John E. Brothers -- Richard W. Carey and Joel D. Pincus -- Paul Concus and Mario Miranda -- Pierre Dolbeault -- Robert Gulliver -- Robert Gulliver and H. Blaine Lawson, Jr. -- Robert M. Hardt and David Kinderlehrer -- Robert M. Hardt and Fang-Hua Lin -- Robert M. Hardt and Jon T. Pitts -- F. Reese Harvey and H. Blaine Lawson, Jr. -- Gerhard Huisken -- John E. Hutchinson -- Christophe Margerin -- Dana Nance -- Seiki Nishikawa -- George Paulik -- Vladimir Scheffer -- Leon Simon -- Jean E. Taylor -- S. Walter Wei -- Brian White -- William P. Ziemer -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840267 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840268 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840269 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840270 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840271 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840272 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840273 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840274 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840275 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840276 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840277 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840278 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840279 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840280 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840281 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840282 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840283 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840284 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840285 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840286 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840287 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840288 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840289 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840290 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840291
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893364 (online)
Geometric measure theory.
QA312 / .S95 1984
516.3/6
"Proceedings of the Summer Institute on Geometric Measure Theory and the Calculus of Variations, held at Humboldt State University, Arcata, California, July 16-August 3, 1984"--T.p. verso.
Includes bibliographies.
An integrality theorem and a regularity theorem for surfaces whose first variation with respect to a parametric elliptic integrand is controlled / Deformations and multiple-valued functions / Local estimates for minimal submanifolds in dimensions greater than two / Second variation estimates for minimal orbits / Index theory for operator ranges and geometric measure theory / MACSYMA and minimal surfaces / Sur les cha�ines maximalement complexes de bord donn�e / Index and total curvature of complete minimal surfaces / The structure of stable minimal hypersurfaces near a singularity / Some regularity results in plasticity / Tangential regularity near the $\mathcal ^1$-boundary / Solving Plateau's problem for hypersurfaces without the compactness theorem for integral currents / Complex analytic geometry and measure theory / Mean curvature contraction of convex hypersurfaces / $C^$ multiple function regularity and tangent cone behaviour for varifolds with second fundamental form in $L^p$ / Pointwise pinched manifolds are space forms / The multiplicity of generic projections of $n$-dimensional surfaces in $\mathbf ^$ $(n+k\leq 4)$ / Deformation of Riemannian metrics and manifolds with bounded curvature ratios / A regularity condition at the boundary for weak solutions of some nonlinear elliptic systems / Solutions to the Navier-Stokes inequality with singularities on a Cantor set / Asymptotic behaviour of minimal submanifolds and harmonic maps / Complete catalog of minimizing embedded crystalline cones / Liouville theorems for stable harmonic maps into either strongly unstable, or $\delta $-pinched, manifolds / A regularity theorem for minimizing hypersurfaces modulo $p$ / Regularity of quasiminima and obstacle problems / William K. Allard -- F. Almgren -- Michael T. Anderson -- John E. Brothers -- Richard W. Carey and Joel D. Pincus -- Paul Concus and Mario Miranda -- Pierre Dolbeault -- Robert Gulliver -- Robert Gulliver and H. Blaine Lawson, Jr. -- Robert M. Hardt and David Kinderlehrer -- Robert M. Hardt and Fang-Hua Lin -- Robert M. Hardt and Jon T. Pitts -- F. Reese Harvey and H. Blaine Lawson, Jr. -- Gerhard Huisken -- John E. Hutchinson -- Christophe Margerin -- Dana Nance -- Seiki Nishikawa -- George Paulik -- Vladimir Scheffer -- Leon Simon -- Jean E. Taylor -- S. Walter Wei -- Brian White -- William P. Ziemer -- http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840267 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840268 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840269 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840270 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840271 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840272 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840273 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840274 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840275 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840276 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840277 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840278 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840279 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840280 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840281 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840282 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840283 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840284 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840285 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840286 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840287 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840288 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840289 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840290 http://www.ams.org/pspum/044 http://dx.doi.org/10.1090/pspum/044/840291
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893364 (online)
Geometric measure theory.
QA312 / .S95 1984
516.3/6